What is the Least Common Multiple of 15864 and 15874?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 15864 and 15874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15864 and 15874, than apply into the LCM equation.

GCF(15864,15874) = 2
LCM(15864,15874) = ( 15864 × 15874) / 2
LCM(15864,15874) = 251825136 / 2
LCM(15864,15874) = 125912568

Least Common Multiple (LCM) of 15864 and 15874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15864 and 15874. First we will calculate the prime factors of 15864 and 15874.

Prime Factorization of 15864

Prime Factorization of 15874

Now multiplying the highest exponent prime factors to calculate the LCM of 15864 and 15874.

LCM(15864,15874) = 2³ × 3¹ × 661¹ × 7937¹
LCM(15864,15874) = 125912568